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Finding the Fourth Proportional to 181,105.80, 271,658.70 and 164,776.20

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Solution

The fourth proportional to 181,105.80, 271,658.70 and 164,776.20 is: 247,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,105.80 : 271,658.70 = 164,776.20 : x
  2. Step 2: Convert to fraction form
    181,105.80/271,658.70 = 164,776.20/x
  3. Step 3: Cross multiply
    181,105.80x = 271,658.70 × 164,776.20
  4. Step 4: Simplify right side
    181,105.80x = 44,762,888,282.94
  5. Step 5: Solve for x
    x = 44,762,888,282.94/181,105.80
  6. Step 6: Final answer
    x = 247,164.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.